A uniform rod AB of length 7 m is undergoing combined rotational and translational motion such that, at some instant of time, velocities of end point A and centre A are both perpendicular to the rod and opposite in direction, having magnitude `11 m//s and 3 m//s` respectively as shown in the figure. Velocity of centre C and angular velocity of the rod remains constant

Options

A. acceleration of point A is `56 m//s^(2)`
B. acceleration of point B is `56 m//s^(2)`
C. at the instant shown in the figure acceleration of point B is more than that of point A.
D. angular velocity of the rod is `4 rad//sec`

Answer

A, B, C

Explanation

`14=(7/2)wRightarroww=4rad//sec`
`a_(A)=a_(B) = (7/2)w^(2)=56 rad//sec^(2)`